SWhat changed
Information gives regular unbiased scalar/multiparameter covariance lower bounds, while the same matrix becomes an invariant local metric on identifiable statistical populations.
Scientific scope
Information gives regular unbiased scalar/multiparameter covariance lower bounds, while the same matrix becomes an invariant local metric on identifiable statistical populations. Differentiability, justified differentiation under the integral, integrability/finite variances and the relevant nonsingular information matrix are required; a nondegenerate metric requires an identifiable regular parameterization. The bound need not be attained. Biased estimators, nonregular models and singular parameters are outside this stated scope. The paper's overstrong sufficient-statistic minimality statements and general testing claims are not adopted.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- Calyampudi Radhakrishna Rao · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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